What is the square root of 9, and how do you solve for it? If there are different ways to solve this, I’d really appreciate it if you could show me. TIA!
What Is The Square Root Of 9?
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9 is a perfect square number, so it’s easy to find its square root by prime factorization.
Prime factorization is basically the process of finding a factor of a number that is also a prime number – we call that a prime factor.
A factor is a number that divides the given number without any remainder, and a prime number is any number that is only divisible by itself and 1 (but it can’t be 1 because 1 is only considered a unit)
A square root is a factor of a number that when multiplied by itself, gives the original number.
So, the factors of 9 are 1, 3, and 9.
From here, we choose 3 (for obvious reasons lol) and check. When we multiply by itself, will we get 9?
3 x 3 = 9
So, the square root of 9 is 3.
You can also use long division. For this, find a number that will give a product less than or equal to 9 – if you know its factors, you can also use those and just divide away.
Here’s a link to another answer about finding square root that I made, maybe it can serve as another example for the process 🙂